SOME INCLUSION RELATIONS BETWEEN LACUNARY METHODS ON PROBABILISTIC NORMED SPAC

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KUMARA VIJAY; KUMARB KULDEEP

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Journal Paper

Paper Information

Journal: MATHEMATICAL SCIENCES Year:2009 | Volume:3 | Issue:3 Page(s): 301-312

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Title

SOME INCLUSION RELATIONS BETWEEN LACUNARY METHODS ON PROBABILISTIC NORMED SPAC

Author(s)

KUMARA VIJAY | KUMARB KULDEEP | Issue Writer Certificate

Keywords

LACUNARY SEQUENCE

STATISTICAL CONVERGENCE

CONTINUOUS T-NORM AND PROBABILISTIC NORMED SPACES

Abstract

A LACUNARY SEQUENCE is an increasing sequence q=(kr) of positive integers such that k0=0 and kr-kr−1 ®¥ as r®¥ In this paper we introduce lacunary STATISTICAL CONVERGENCE on probabilistic normed space (briefly PN spaces) and establish some inclusion relations between the sets of statistically convergent and lacunary statistically convergent sequences on PN spaces. We also defined lacunary statistical Cauchy sequence in these spaces and prove that it is equivalent to lacunary statistical convergent sequence

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APA: Copy

KUMARA, VIJAY, & KUMARB, KULDEEP. (2009). SOME INCLUSION RELATIONS BETWEEN LACUNARY METHODS ON PROBABILISTIC NORMED SPAC. MATHEMATICAL SCIENCES, 3(3), 301-312. SID. https://sid.ir/paper/322501/en

Vancouver: Copy

KUMARA VIJAY, KUMARB KULDEEP. SOME INCLUSION RELATIONS BETWEEN LACUNARY METHODS ON PROBABILISTIC NORMED SPAC. MATHEMATICAL SCIENCES[Internet]. 2009;3(3):301-312. Available from: https://sid.ir/paper/322501/en

IEEE: Copy

VIJAY KUMARA, and KULDEEP KUMARB, “SOME INCLUSION RELATIONS BETWEEN LACUNARY METHODS ON PROBABILISTIC NORMED SPAC,” MATHEMATICAL SCIENCES, vol. 3, no. 3, pp. 301–312, 2009, [Online]. Available: https://sid.ir/paper/322501/en

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